Answer:
A rectangle
Step-by-step explanation:
A square can be a rectangle but a rectangle can't always be a square.
Probability of winning a grand prize is 1/10
Probability of winning a basic prize is 11/20
What is the probability of two independent events?
If A and B are two independent events, then P(A and B) = P(A) * P(B).
If Events A and B are independent, the probability that either Event A or Event B occurs is: P(A or B) = P(A) + P(B) - P(A and B).
Solution:
P(A) = no. of A / total possibility
= 4/10
P(B) = no. of 1's/total possibility
= 3/12
= 1/4
Now,
To win a grand prize you need an "A" and "1" .
∴ P(A and B) = P(A) × P(B)
= 4/10 × 1/4
P(A and B) = 1/10
Now ,
To win a basic prize you need to spin an "A" or a "1"
∴ P(A or B) = P(A) + P(B) - P(A and B)
= 4/10 + 1/4 - 1/10
= 3/10 + 1/4
∴ P(A or B)= 11/20
To learn more about probability of independent events click on the link below:
brainly.com/question/16157262
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Answer: 80th percentile
Step-by-step explanation:
There were 19 competitors below him and 5 competitors above him.
Total number of competitors is:
= 19 + 5 + Shawnte
= 25 competitors
Out of these 25 competitors, Shawnte took the 20th position.
Percentile is:
= 20/25 * 100
= 80th percentile
<h3>Initial amount = 1</h3><h3>Rate of growth = 80 %</h3><h3>The value is 18.9 when t = 5</h3>
<em><u>Solution:</u></em>
<em><u>The given exponential function is:</u></em>
<em><u>The exponential function is given as:</u></em>
Where,
y is the future value
a is the initial value
r is the growth rate
t is the number of years
<em><u>Compare both the functions,</u></em>
a = 1
Thus growth rate is:
<em><u></u></em>
<em><u>Evaluate the function when t = 5</u></em>
Substitute t = 5 in given
Thus the value is 18.9 when t = 5
Since they are alternate interior angles, they will be congruent with each other.
4x= 5x-30
Subtract 5x on each side.
-1x= -30
Divide -1 into both sides.
x= 30
Now just plug in 30 too (4x) for the angle measure of both sides.
4*30 = 120
Each angle is equal to 120.
Hope this helps!
